Results 91 to 100 of about 5,620,148 (306)
Comparison Principles for the p-Laplacian Operator
Journal of Mathematical Sciences, 2014 In this paper the author proves new comparison principles for the \(p\)-Laplace operator, both in bounded and in unbounded domains. In bounded domains he applies an approach already developed in the literature for the case where \(1 < p\leq 2\), and extends it to the case \(p > 2\), using measure theory.
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A Comparison Principle for Some Types of Elliptic Equations [PDF]
ISRN Mathematical Analysis, 2012 In this paper a comparison principle between a continuous viscosity supersolution and a continuous viscosity subsolution is presented. The operator of interest is a fully nonlinear uniformly elliptic one with a gradient term which could be noncontinuous and grow like some BMO functions, as shown in the last section.
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A Lemma for a Strong Comparison Principle of Nonlinear Parabolic Equations [PDF]
, 2022 In this note, we prove a lemma for a strong comparison principle of nonlinear parabolic equations. We shall prove a function which is a viscosity subsolution minus a viscosity supersolution of the equation becomes a viscosity subsolution of a parabolic ...
カワイ, サトシ +7 more
core
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
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A singular ODE related to quasilinear elliptic equations
Electronic Journal of Differential Equations, 2000 We consider a quasilinear elliptic problem with the natural growth in the gradient. Existence, non-existence, uniqueness, and qualitative properties of positive solutions are obtained. We consider both weak and strong solutions.
Luka Korkut +2 more
doaj
Molecular Oncology, EarlyView.In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera +11 more
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Comparison principle for parabolic equations in the Heisenberg group [PDF]
, 2005 We define two notions of viscosity solutions to parabolic equations in the Heisenberg group, depending on whether the test functions concern only the past or both the past and the future.
Thomas Bieske
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Molecular Oncology, EarlyView.RNA profiling of circulating extracellular vesicles (EVs) from blood samples of men undergoing prostate biopsy identifies transcripts associated with clinically significant prostate cancer. Integrative analysis with public tumor datasets links EV‐derived gene signatures to tumor stage and progression‐free survival, highlighting CASP3, XRCC2, and RIT1 ...
Stefan Werner +14 more
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The simple failure of Curie's Principle [PDF]
, 2012 This note points out a simple sense in which the standard formulation of Curie’s Principle is false, when the symmetry transformation it describes is time ...
Roberts, Bryan W., Bryan W. Roberts
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Molecular Oncology, EarlyView.The novel styrylquinazolinone‐based molecule W1B effectively suppresses glioblastoma by inhibiting IGF1R and EGFR. In high‐glucose microenvironments driving tumor resistance, W1B acts synergistically with the EGFR inhibitor dacomitinib. This combination safely blocks compensatory survival signaling in zebrafish xenograft models. Showcasing promising in
Patryk Rurka +9 more
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